Quick thoughts on girl character names?

I'm currently desperately searching for a character name. After days of searching for the perfect unisex name for a red-headed, girly character (I know, it's a bit of an odd task), I believe I've found it-- but I would like the input of you lovely people before I make a decision.

Originally, I settled on Kai, which I LOVE and is about perfect, but something about it felt off. I continued to look and found Justice, which I feel is even better.

So I have to ask you all; which do you prefer, Kai or Justice, and why?

A secondary question would be, since I'm leaning more towards Justice, what does it make you think of? Does it scream all-American to a fault (because that's not my thing, haha).